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arxiv: 1211.4217 · v2 · submitted 2012-11-18 · 🌀 gr-qc

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Frame Transformations of Gravitational Theories

Xavier Calmet , Ting-Cheng Yang
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classification 🌀 gr-qc
keywords framegravitationaltheoriesconsidereinsteinjordanquantumresults
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We show how to map gravitational theories formulated in the Jordan frame to the Einstein frame at the quantum field theoretical level considering quantum fields in curved space-time. As an example, we consider gravitational theories in the Jordan frame of the type $F(\phi,\, R)=f(\phi)\, R-V(\phi)$ and perform the map to the Einstein frame. Our results can easily be extended to any gravitational theory. We consider the Higgs inflation model as an application of our results.

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Cited by 1 Pith paper

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  1. Frame invariant diffusive formulation of scalar-tensor gravity

    gr-qc 2026-04 unverdicted novelty 7.0

    Scalar-tensor gravity admits a frame-invariant perfect-fluid description with zero temperature, so that general relativity corresponds to diffusive equilibrium for both minimal and nonminimal theories.